131211122100 has 72 divisors (see below), whose sum is σ = 401969147328. Its totient is φ = 32931417600.

The previous prime is 131211122099. The next prime is 131211122113. The reversal of 131211122100 is 1221112131.

It is a super-2 number, since 2×131211122100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131211122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12858736 + ... + 12868935.

It is an arithmetic number, because the mean of its divisors is an integer number (5582904824).

Almost surely, 2^131211122100 is an apocalyptic number.

131211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211122100 is an abundant number, since it is smaller than the sum of its proper divisors (270758025228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131211122100 is a wasteful number, since it uses less digits than its factorization.

131211122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25727705 (or 25727698 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131211122100 its reverse (1221112131), we get a palindrome (132432234231).

The spelling of 131211122100 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".